# Various Geometry Problems

Can you please help with these problems.

© BrainMass Inc. brainmass.com October 10, 2019, 4:02 am ad1c9bdddfhttps://brainmass.com/math/curves/various-geometry-problems-446877

#### Solution Preview

1.

No. of faces (F) = ?

No. of Edges (E) = 10

No. of vertices (V) = 6

Eular's formula:

F+V-E = 2

=> F+6-10 = 2 => F = 6 --Answer

2. Circle with thick line (answer d)

3.

Answer is A -- Because the plane shown is tilted & intersects with left & right faces. -- You can clearly see that plane shown intersects with both upper & lower edges of right & left faces. --Answer

4.

Surface area of the prism = 2*(3*5+5*10+10*3) = 190 square inches -- Answer

5.

Height of each face of shape triangle = sqrt ( 8^2 + (8/2)^2) = 8.9443 m

Hence surface area of each triangular face = (1/2)*8*8.9443 m^2

Total surface area = 4 Top faces + 4 vertical faces + bottom = 4*(1/2)*8*8.9443 + 4*8*9 + 8*8 = 495 m^2 --Answer

6.

Base area = 7*12 ft^2

Height = 7 ft

Volume = (1/2)*base * height =(1/2)*7*7*12 = 294 ft^3 --Answer

7.

Area = 14*9 yd^2

Height = 4 in = (4/12) ft = (1/3) ft = (1/3)/3 yd = ...

#### Solution Summary

The solution solves various geometry problems.